Is it possible that we will eventually produce strains resistant to even this? Yes. Is the answer to just give up drop all attempts at antibiotics? Probably not.
But those resistant strains will be outcompeted by non-resistant strains without the presence of anti-biotics.
There is a fitness cost to most resistance mechanisms [1]
If it gets bad enough, outpatient antibiotics use will be a thing of the past. Need antibiotics? You're staying in a facility where someone will monitor you and make sure you take the full course and don't make our resistance problems worse. It won't necessarily be a hospital and you won't necessarily be watched by doctors or nurses, but compliance will be mandatory and enforced.
I hope it doesn't get that bad.
It's possible that there exist some strange bacteria that feed on sulfur components and live inside mines with high silver concentration that have special mechanism to handle silver, but I think they are not very happy eating meat.
Fungus could tell another history, about how they design, make and use exactly the same compounds since thousands, maybe millions of years for the same purposes.
For example, I would consider osmosis to be a "fundamental chemistry" form of action. The only organisms I know of that can tolerate ridiculously high osmotic pressures are extremophiles. They developed resistance, yes, but they had the opportunity to gradually develop on the fringes of these extreme environments, instead of simply being dropped into a pool of salt.